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{"name": "Basic Percentages 3", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variables": {"ans": {"description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "ans", "definition": "({a}/100)*{b}"}, "ans2": {"description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "ans2", "definition": "100-a"}, "d": {"description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "d", "definition": "random(10..100#10)"}, "ans3": {"description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "ans3", "definition": "100+c"}, "a": {"description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "definition": "random(20..90#5)"}, "b": {"description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "definition": "random(10..100#10)"}, "c": {"description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "c", "definition": "random(20..90#5)"}, "ans1": {"description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "ans1", "definition": "({c}/100)*{d}"}, "ans4": {"description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "ans4", "definition": "({ans3}/100)*{b}"}}, "functions": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "tags": [], "metadata": {"description": "<p>Basic Percentages Question</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "preamble": {"js": "", "css": ""}, "advice": "<p>To find the percentage of a number, we need to remember that percentage means \"out of $100$\". There are then several ways to find the answer.</p>\n<p>For part a:</p>\n<p><span style=\"text-decoration: underline;\">Method 1</span></p>\n<p>You can use the formula : $\\frac{Original Amount}{100}\\times Percentage$</p>\n<p>In this question, this will be $\\frac{\\var{b}}{100}\\times\\var{a} = \\var{ans}$</p>\n<p><span style=\"text-decoration: underline;\">Method 2</span></p>\n<p>We can use scaling to find the percentage.</p>\n<p>Find $50$% (which is half), $25$% (which is half of $50$%), $5$% (which is $25$% divided by $5$), and/or $1$% (which is the original divided by $100$).</p>\n<p>Using these values you can get to ANY percentage amount by then scaling up:</p>\n<p>e.g. $2$% = $1$%$\\times 2$, $7$% = $1$%$\\times 7$, $15$% = $5$%$\\times 3$, etc.</p>\n<p>For part c, we are removing $\\var{a}$% from the original amount. The original amount is $100$% of what we had so the new amount is $100 - \\var{a} = \\var{ans2}$%</p>\n<p>Similarly, for part d, we are adding $\\var{c}$%&nbsp;to the original amount. The original amount is $100$% of what we had so the new amount is $100 + \\var{c} = \\var{ans3}$%</p>\n<p>For part d, you can use the same methods as parts a and b but remember, as the percentage is greater than $100$ you should get an answer bigger than what we started with.&nbsp;</p>", "name": "Basic Percentages 3", "variable_groups": [], "parts": [{"customMarkingAlgorithm": "", "gaps": [{"maxValue": "ans", "customMarkingAlgorithm": "", "showFractionHint": true, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "customName": "", "correctAnswerFraction": false, "unitTests": [], "showFeedbackIcon": true, "type": "numberentry", "useCustomName": false, "variableReplacements": [], "allowFractions": false, "variableReplacementStrategy": "originalfirst", "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "minValue": "ans", "mustBeReduced": false, "marks": 1, "scripts": {}}], "customName": "", "prompt": "<p>What&nbsp;is $\\var{a}$% of $\\var{b}$ml ?</p>\n<p>[[0]]ml</p>", "unitTests": [], "showFeedbackIcon": true, "type": "gapfill", "useCustomName": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "sortAnswers": false, "marks": 0, "scripts": {}}, {"customMarkingAlgorithm": "", "gaps": [{"maxValue": "ans1", "customMarkingAlgorithm": "", "showFractionHint": true, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "customName": "", "correctAnswerFraction": false, "unitTests": [], "showFeedbackIcon": true, "type": "numberentry", "useCustomName": false, "variableReplacements": [], "allowFractions": false, "variableReplacementStrategy": "originalfirst", "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "minValue": "ans1", "mustBeReduced": false, "marks": 1, "scripts": {}}], "customName": "", "prompt": "<p>What&nbsp;is $\\var{c}$% of $\\var{d}$ml ?</p>\n<p>[[0]]ml</p>", "unitTests": [], "showFeedbackIcon": true, "type": "gapfill", "useCustomName": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "sortAnswers": false, "marks": 0, "scripts": {}}, {"customMarkingAlgorithm": "", "gaps": [{"maxValue": "ans2", "customMarkingAlgorithm": "", "showFractionHint": true, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "customName": "", "correctAnswerFraction": false, "unitTests": [], "showFeedbackIcon": true, "type": "numberentry", "useCustomName": false, "variableReplacements": [], "allowFractions": false, "variableReplacementStrategy": "originalfirst", "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "minValue": "ans2", "mustBeReduced": false, "marks": 1, "scripts": {}}], "customName": "", "prompt": "<p>If&nbsp;$\\var{a}$% is removed from a syringe, how much is left as a %?</p>\n<p>[[0]]%</p>", "unitTests": [], "showFeedbackIcon": true, "type": "gapfill", "useCustomName": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "sortAnswers": false, "marks": 0, "scripts": {}}, {"customMarkingAlgorithm": "", "gaps": [{"maxValue": "ans3", "customMarkingAlgorithm": "", "showFractionHint": true, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "customName": "", "correctAnswerFraction": false, "unitTests": [], "showFeedbackIcon": true, "type": "numberentry", "useCustomName": false, "variableReplacements": [], "allowFractions": false, "variableReplacementStrategy": "originalfirst", "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "minValue": "ans3", "mustBeReduced": false, "marks": 1, "scripts": {}}], "customName": "", "prompt": "<p>If&nbsp;$\\var{c}$% is&nbsp;added&nbsp;to a syringe, how much is&nbsp;there now as a %? (hint: the answer should be more than 100)</p>\n<p>[[0]]%</p>", "unitTests": [], "showFeedbackIcon": true, "type": "gapfill", "useCustomName": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "sortAnswers": false, "marks": 0, "scripts": {}}, {"customMarkingAlgorithm": "", "gaps": [{"maxValue": "ans4", "customMarkingAlgorithm": "", "showFractionHint": true, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "customName": "", "correctAnswerFraction": false, "unitTests": [], "showFeedbackIcon": true, "type": "numberentry", "useCustomName": false, "variableReplacements": [], "allowFractions": false, "variableReplacementStrategy": "originalfirst", "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "minValue": "ans4", "mustBeReduced": false, "marks": 1, "scripts": {}}], "customName": "", "prompt": "<p>What&nbsp;is $\\var{ans3}$% of $\\var{b}$ml ?</p>\n<p>[[0]]ml</p>", "unitTests": [], "showFeedbackIcon": true, "type": "gapfill", "useCustomName": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "sortAnswers": false, "marks": 0, "scripts": {}}], "ungrouped_variables": ["a", "b", "ans", "c", "d", "ans1", "ans2", "ans3", "ans4"], "rulesets": {}, "extensions": [], "statement": "", "contributors": [{"name": "Mark Hodds", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/510/"}, {"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}]}]}], "contributors": [{"name": "Mark Hodds", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/510/"}, {"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}]}